Structured models of microbial growth: single and mixed substrate cultures
Sergei Pilyugin (The Ohio State University)
(May 3, 2004 3:30 PM - 4:30 PM)
The dynamics of continuous cultures (or bioreactors) has been a problem of considerable interest to many mathematicians. The standard modeling approach was developed following the pioneering work of J. Monod. Models of this class include only extracellular variables such as cell and substrate concentrations. These simple unstructured models typically fail to accurately describe the transient behavior of bioreactors. Understanding such transients is crucial for such applications as waste water treatment and food processing where bioreactors are widely used.
In this talk, I will report on our recent progress in formulating and analyzing structured models of microbial growth which explicitly consider intracellular variables that determine the physiological state of the cell. Specifcally, I will discuss such topics as: 1) General description and formualtion of structured models; 2) The role of transport enzymes; 3) Dynamics of single and mixed cultures; and 4) Connections between theory and experiments.
- Shoemaker, J., Reeves, G.T., Gupta, S., Pilyugin, S.S., Egli, T., & Narang, A. (2003). The dynamics of single-substrate continuous cultures: The role of transport enzymes. J. Theor. Biol., 222, 307-322.
- Reeves, G.T., Narang, A., & Pilyugin, S.S. (2003). Growth of mixed cultures on mixtures of substitutable substrates: The operating diagram for a structured model. Journal of Theoretical Biology, 226 (2), 143-157.
- Pilyugin, S.S., Reeves, G.T., & Narang, A. Stability of mixed microbial cultures: connecting theory and experiments. Part 1. Unstructured model. Manuscript submitted for publication.
- Pilyugin, S.S., Reeves, G.T., & Narang, A. Stability of mixed microbial cultures: connecting theory and experiments. Part 2. Structured model. Manuscript submitted for publication.